Metrics for 2tan (problem 3.3.2)

start0.0ms (0.0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze36.0ms (0.4%)

Memory

8.1MiB live, 53.4MiB allocated; 9ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	50.6%	49.4%	0.0%	0.0%	0.0%	0
0.0%	0.0%	50.6%	49.4%	0.0%	0.0%	0.0%	1
0.0%	0.0%	50.6%	49.4%	0.0%	0.0%	0.0%	2
0.0%	0.0%	25.3%	49.4%	0.0%	25.3%	0.0%	3
0.0%	0.0%	25.3%	49.4%	0.0%	25.3%	0.0%	4
0.0%	0.0%	19.0%	49.4%	0.0%	31.6%	0.0%	5
0.0%	0.0%	15.8%	49.4%	0.0%	34.8%	0.0%	6
0.0%	0.0%	11.1%	49.4%	0.0%	39.5%	0.0%	7
0.0%	0.0%	8.7%	49.4%	0.0%	41.9%	0.0%	8
0.0%	0.0%	5.9%	49.4%	0.0%	44.6%	0.0%	9
0.0%	0.0%	4.5%	49.4%	0.0%	46.0%	0.0%	10
0.0%	0.0%	3.1%	49.4%	0.0%	47.5%	0.0%	11
0.0%	0.0%	2.7%	49.4%	0.0%	47.9%	0.0%	12

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample4.8s (53.8%)

Memory

-92.1MiB live, 6 370.0MiB allocated; 2.6s collecting garbage

Samples

2.2s	26 425×	0	invalid
667.0ms	5 592×	1	valid
174.0ms	2 664×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-tan: 616.0ms (34.9% of total)

ival-add!: 250.0ms (14.2% of total)

ival-fabs: 245.0ms (13.9% of total)

ival-mult!: 213.0ms (12.1% of total)

adjust: 154.0ms (8.7% of total)

ival-<: 130.0ms (7.4% of total)

ival-sub!: 88.0ms (5.0% of total)

ival-and: 58.0ms (3.3% of total)

ival-assert: 13.0ms (0.7% of total)

Bogosity

preprocess78.0ms (0.9%)

Memory

-29.9MiB live, 58.2MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	46
1	84	42
2	432	42
3	3811	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample0.0ms (0.0%)

Memory

0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs

Outputs

series32.0ms (0.4%)

Memory

11.2MiB live, 56.4MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	192	1190

Stop Event

1×	iter-limit

Counts

6 → 31

Calls

Call 1

Inputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(tan.f64 x)

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (-.f64 (/.f64 (.f64 x (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (tan (+ x eps)) (fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (tan (+ x eps)) (fma.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (tan (+ x eps)) (fma.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx x x)
#s(approx (tan x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (tan x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (tan x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
#s(approx (tan (+ x eps)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (tan x) (/.f64 (sin.f64 x) (cos.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
#s(approx (tan (+ x eps)) (/.f64 (sin.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x)))))
#s(approx (+ x eps) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (tan (+ x eps)) (fma.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (sin.f64 x) (cos.f64 x))))
#s(approx (tan (+ x eps)) (fma.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (sin.f64 x) (cos.f64 x))))
#s(approx (tan (+ x eps)) (fma.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (sin.f64 x) (cos.f64 x))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
#s(approx (tan (+ x eps)) (/.f64 (sin.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps)))))
#s(approx (+ x eps) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))

Calls

6 calls:

Time	Variable	Point
2.0ms	x	-inf
2.0ms	eps	0
2.0ms	eps	inf
2.0ms	x	0
2.0ms	eps	-inf

rewrite155.0ms (1.8%)

Memory

-12.1MiB live, 180.5MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	60	18
2	252	18
3	1673	18
0	4602	18

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

6 → 112

Calls

Call 1

Inputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(tan.f64 x)

Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))) (neg.f64 (tan.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 x)) (tan.f64 (+.f64 eps x)))) (tan.f64 (+.f64 eps x)))
(.f64 (-.f64 (.f64 (cos.f64 x) (tan.f64 (+.f64 eps x))) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) (tan.f64 (+.f64 eps x)))
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(/.f64 (fma.f64 (neg.f64 (tan.f64 x)) (neg.f64 (cos.f64 (+.f64 eps x))) (sin.f64 (-.f64 (neg.f64 x) eps))) (neg.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (fma.f64 (neg.f64 (tan.f64 x)) (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x)))
(/.f64 (fma.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 (+.f64 eps x))) (.f64 (sin.f64 (-.f64 (neg.f64 x) eps)) (cos.f64 x))) (.f64 (cos.f64 x) (neg.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x)) (.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (fma.f64 (sin.f64 x) (neg.f64 (cos.f64 (+.f64 eps x))) (.f64 (sin.f64 (-.f64 (neg.f64 x) eps)) (neg.f64 (cos.f64 x)))) (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (fma.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x) (.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)))) (.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))
(/.f64 (fma.f64 (sin.f64 (-.f64 (neg.f64 x) eps)) (cos.f64 x) (.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 (+.f64 eps x))))) (.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x)))
(/.f64 (fma.f64 (sin.f64 (-.f64 (neg.f64 x) eps)) (neg.f64 (cos.f64 x)) (.f64 (sin.f64 x) (neg.f64 (cos.f64 (+.f64 eps x))))) (.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (neg.f64 (cos.f64 x))))
(/.f64 (fma.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x) (.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x)))) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (fma.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)) (.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x))) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(/.f64 (-.f64 (.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (.f64 (tan.f64 (+.f64 eps x)) (tan.f64 (+.f64 eps x)))) (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 (+.f64 eps x))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)) (-.f64 (.f64 (tan.f64 (+.f64 eps x)) (tan.f64 (+.f64 eps x))) (.f64 (neg.f64 (tan.f64 x)) (tan.f64 (+.f64 eps x))))))
(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 (+.f64 eps x))) (.f64 (cos.f64 x) (sin.f64 (-.f64 (neg.f64 x) eps)))) (.f64 (cos.f64 x) (neg.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (fma.f64 (sin.f64 x) (neg.f64 (cos.f64 (+.f64 eps x))) (.f64 (neg.f64 (cos.f64 x)) (sin.f64 (-.f64 (neg.f64 x) eps)))) (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (fma.f64 (sin.f64 (-.f64 (neg.f64 x) eps)) (cos.f64 x) (.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (neg.f64 (sin.f64 x)))) (.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x)))
(/.f64 (fma.f64 (sin.f64 (-.f64 (neg.f64 x) eps)) (neg.f64 (cos.f64 x)) (.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (sin.f64 x))) (.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (neg.f64 (cos.f64 x))))
(/.f64 (fma.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (-.f64 (.f64 (sin.f64 (-.f64 (neg.f64 x) eps)) (neg.f64 (cos.f64 x))) (.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (neg.f64 (cos.f64 x))))
(/.f64 (-.f64 (.f64 (sin.f64 (-.f64 (neg.f64 x) eps)) (cos.f64 x)) (.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x)))
(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (cos.f64 x) (tan.f64 (+.f64 eps x))) (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 (*.f64 (cos.f64 (+.f64 eps x)) (tan.f64 x)) (sin.f64 (+.f64 eps x)))) (cos.f64 (+.f64 eps x)))
(/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 eps x)) (tan.f64 x)) (sin.f64 (+.f64 eps x))) (neg.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (tan.f64 (+.f64 eps x))) (sin.f64 x)) (cos.f64 x))
(/.f64 (-.f64 (.f64 (tan.f64 (+.f64 eps x)) (tan.f64 (+.f64 eps x))) (.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) (-.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (tan.f64 x)) #s(literal 3 binary64))) (fma.f64 (tan.f64 (+.f64 eps x)) (tan.f64 (+.f64 eps x)) (-.f64 (.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))))))
(/.f64 (sin.f64 (-.f64 x (+.f64 eps x))) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))
(/.f64 (sin.f64 (-.f64 x (+.f64 eps x))) (neg.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (tan.f64 (+.f64 eps x))) (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (-.f64 (+.f64 eps x) x))))
(/.f64 (-.f64 (.f64 (tan.f64 (+.f64 eps x)) (tan.f64 (+.f64 eps x))) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (fma.f64 (tan.f64 (+.f64 eps x)) (tan.f64 (+.f64 eps x)) (fma.f64 (tan.f64 x) (tan.f64 x) (*.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(neg.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (sin.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(fma.f64 (sin.f64 (-.f64 (neg.f64 x) eps)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (tan.f64 x)))
(fma.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)) (tan.f64 (+.f64 eps x)))
(fma.f64 (sin.f64 (+.f64 eps x)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (+.f64 eps x)))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 eps x)))
(-.f64 (/.f64 (*.f64 (cos.f64 x) (tan.f64 (+.f64 eps x))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (/.f64 (.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x)) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(-.f64 (neg.f64 (tan.f64 x)) (tan.f64 (-.f64 (neg.f64 x) eps)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(+.f64 (neg.f64 (tan.f64 x)) (tan.f64 (+.f64 eps x)))
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (sin.f64 (+.f64 eps x)))
(*.f64 (sin.f64 (-.f64 (neg.f64 x) eps)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))))
(*.f64 (sin.f64 (+.f64 eps x)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))))
(/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))))
(/.f64 (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 1 binary64)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64))) (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64))))
(/.f64 (sin.f64 (-.f64 (neg.f64 x) eps)) (neg.f64 (cos.f64 (+.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (sin.f64 (-.f64 (neg.f64 x) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(neg.f64 (tan.f64 (-.f64 (neg.f64 x) eps)))
(-.f64 (/.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)) (cos.f64 (+.f64 eps x))))
(tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) eps))
(tan.f64 (+.f64 eps x))
(+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x))))
(+.f64 (/.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) eps)) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x)
(/.f64 (-.f64 (.f64 eps eps) (.f64 (neg.f64 x) (neg.f64 x))) (+.f64 eps (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 eps (neg.f64 x)))))
(/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (-.f64 eps x))
(/.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 eps) (neg.f64 eps))) (+.f64 x (neg.f64 eps)))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (.f64 x x) (.f64 eps x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 x (neg.f64 eps)))))
(/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (-.f64 x eps))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 eps eps) (.f64 x eps))))
(neg.f64 (-.f64 (neg.f64 x) eps))
(-.f64 eps (neg.f64 x))
(-.f64 x (neg.f64 eps))
(+.f64 eps (neg.f64 (neg.f64 x)))
(+.f64 eps x)
(+.f64 x eps)
x
eps
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (sin.f64 (neg.f64 (neg.f64 x))) (cos.f64 x))
(/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (cos.f64 x))
(/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) (cos.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (sin.f64 x) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (sin.f64 x) (cos.f64 x))
(neg.f64 (neg.f64 (tan.f64 x)))
(tan.f64 (neg.f64 (neg.f64 x)))
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) x))
(tan.f64 x)

eval15.0ms (0.2%)

Memory: 32.6MiB live, 32.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 087 to 559 computations (81.9% saved)

prune20.0ms (0.2%)

Memory

-8.2MiB live, 37.5MiB allocated; 3ms collecting garbage

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	118	21	139
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	118	22	140

Accuracy

100.0%

Counts

140 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.3%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (sin.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
▶	63.3%	(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 eps x)))
	63.3%	(/.f64 (fma.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
▶	63.3%	(/.f64 (fma.f64 (neg.f64 (tan.f64 x)) (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x)))
	63.3%	(/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 eps x)) (tan.f64 x)) (sin.f64 (+.f64 eps x))) (neg.f64 (cos.f64 (+.f64 eps x))))
	63.3%	(/.f64 (-.f64 (*.f64 (cos.f64 x) (tan.f64 (+.f64 eps x))) (sin.f64 x)) (cos.f64 x))
	63.3%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	4.4%	(-.f64 (/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64))) (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)))) (tan.f64 x))
	63.3%	(-.f64 (+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x)))) (tan.f64 x))
	4.3%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))) (tan.f64 x))
▶	4.4%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64))) (tan.f64 x))
	4.3%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
	7.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
	7.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	63.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	62.3%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))
	62.8%	(-.f64 (tan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps)) (tan.f64 x))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	99.5%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
▶	100.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))

Compiler

Compiled 1 251 to 578 computations (53.8% saved)

sample0.0ms (0.0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
-1
-1/2
2
1/6
1/3
(PI)

Outputs
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(literal 6004799503160661/36028797018963968 binary64)
#s(literal 6004799503160661/18014398509481984 binary64)
#s(literal 884279719003555/281474976710656 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 9 to 9 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series230.0ms (2.6%)

Memory

-8.1MiB live, 277.8MiB allocated; 82ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1439	30873

Stop Event

1×	iter-limit

Counts

63 → 299

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
eps
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))))
#s(literal 1 binary64)
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#s(literal -1 binary64)
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#s(literal -1/2 binary64)
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(sin.f64 x)
x
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(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos.f64 x)
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#s(literal 1/6 binary64)
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(*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
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(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (tan x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/3 binary64)
(pow.f64 x #s(literal 2 binary64))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64))) (tan.f64 x))
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)))
(+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64))
(+.f64 (+.f64 (PI.f64) x) eps)
(+.f64 (PI.f64) x)
(PI.f64)
(tan.f64 x)
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 eps x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(neg.f64 (cos.f64 x))
(tan.f64 (+.f64 eps x))
(+.f64 eps x)
(/.f64 (fma.f64 (neg.f64 (tan.f64 x)) (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x)))
(fma.f64 (neg.f64 (tan.f64 x)) (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))
(neg.f64 (tan.f64 x))
(cos.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (-.f64 (/.f64 (.f64 x (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
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#s(approx (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
#s(approx (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (fma.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (fma.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))
#s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))))
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#s(approx (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (fma.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))))
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#s(approx (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 17/270 binary64) (.f64 #s(literal 31/945 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (*.f64 #s(literal -1 binary64) x))
#s(approx (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (.f64 x (-.f64 (.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) #s(literal 1 binary64))))
#s(approx (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -248/315 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/15 binary64))) #s(literal 4/3 binary64))) #s(literal 1 binary64))))
#s(approx (tan (+ x eps)) (fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (tan (+ x eps)) (fma.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (tan (+ x eps)) (fma.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (tan x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (tan x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (tan x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (+ 1 (* 1/3 (pow x 2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* 1/3 (pow x 2)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (tan (+ (+ (+ (PI) x) eps) (PI))) (tan x)) (/.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64))))))
#s(approx (- (tan (+ (+ (+ (PI) x) eps) (PI))) (tan x)) (+.f64 (/.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64))))) (/.f64 (.f64 x (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (cos.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)))))
#s(approx (- (tan (+ (+ (+ (PI) x) eps) (PI))) (tan x)) (fma.f64 x (-.f64 (/.f64 (.f64 x (.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))))))) (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))))) (/.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (- (tan (+ (+ (+ (PI) x) eps) (PI))) (tan x)) (fma.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))))) (/.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (cos.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (tan (+ (+ (+ (PI) x) eps) (PI))) (fma.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))))) (/.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (cos.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (tan (+ (+ (+ (PI) x) eps) (PI))) (fma.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))))))) (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))))) (/.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (tan (+ (+ (+ (PI) x) eps) (PI))) (fma.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))))) (/.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (cos.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (+ (+ (+ (PI) x) eps) (PI)) (+.f64 eps (*.f64 #s(literal 2 binary64) (PI.f64))))
#s(approx (+ (+ (+ (PI) x) eps) (PI)) (+.f64 eps (+.f64 x (*.f64 #s(literal 2 binary64) (PI.f64)))))
#s(approx (+ (+ (PI) x) eps) (+.f64 eps (PI.f64)))
#s(approx (+ (+ (PI) x) eps) (+.f64 eps (+.f64 x (PI.f64))))
#s(approx (+ (PI) x) (PI.f64))
#s(approx (+ (PI) x) (+.f64 x (PI.f64)))
#s(approx (/ 1 (neg (cos x))) #s(literal -1 binary64))
#s(approx (/ 1 (neg (cos x))) (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (/ 1 (neg (cos x))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ 1 (neg (cos x))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (neg (cos x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (neg (cos x)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(approx (neg (cos x)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))) #s(literal 1 binary64)))
#s(approx (/ (+ (* (neg (tan x)) (cos (+ eps x))) (sin (+ eps x))) (cos (+ eps x))) (fma.f64 x (-.f64 (.f64 x (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (/ (+ (* (neg (tan x)) (cos (+ eps x))) (sin (+ eps x))) (cos (+ eps x))) (fma.f64 x (-.f64 (.f64 x (-.f64 (fma.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (.f64 #s(literal 1/3 binary64) (cos.f64 eps))) (cos.f64 eps))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 eps) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))))) (cos.f64 eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (+ (* (neg (tan x)) (cos (+ eps x))) (sin (+ eps x))) (sin.f64 eps))
#s(approx (+ (* (neg (tan x)) (cos (+ eps x))) (sin (+ eps x))) (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (cos.f64 eps))))))
#s(approx (+ (* (neg (tan x)) (cos (+ eps x))) (sin (+ eps x))) (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (fma.f64 #s(literal -1 binary64) (cos.f64 eps) (.f64 x (+.f64 (sin.f64 eps) (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)))))))))
#s(approx (+ (* (neg (tan x)) (cos (+ eps x))) (sin (+ eps x))) (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (fma.f64 #s(literal -1 binary64) (cos.f64 eps) (.f64 x (+.f64 (sin.f64 eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 x (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (.f64 #s(literal 1/3 binary64) (cos.f64 eps))) (*.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))))))))
#s(approx (neg (tan x)) (.f64 x (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (neg (tan x)) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 1 binary64))))
#s(approx (neg (tan x)) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2/15 binary64))) #s(literal 1/3 binary64))) #s(literal 1 binary64))))
#s(approx (cos (+ eps x)) (cos.f64 eps))
#s(approx (cos (+ eps x)) (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps)))))
#s(approx (cos (+ eps x)) (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 eps))) (sin.f64 eps)))))
#s(approx (cos (+ eps x)) (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 eps))))) (sin.f64 eps)))))
#s(approx (sin (+ eps x)) (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))))
#s(approx (sin (+ eps x)) (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))))))
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#s(approx (+ (+ (+ (PI) x) eps) (PI)) (+.f64 x (*.f64 #s(literal 2 binary64) (PI.f64))))
#s(approx (+ (* (sin x) (/ 1 (neg (cos x)))) (tan (+ eps x))) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))))
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#s(approx (+ (* (sin x) (/ 1 (neg (cos x)))) (tan (+ eps x))) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
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#s(approx (+ (* (neg (tan x)) (cos (+ eps x))) (sin (+ eps x))) (+.f64 (sin.f64 x) (*.f64 #s(literal -1 binary64) (sin.f64 x))))
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#s(approx (+ (* (neg (tan x)) (cos (+ eps x))) (sin (+ eps x))) (+.f64 (sin.f64 x) (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))))
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#s(approx (cos (+ eps x)) (+.f64 (cos.f64 x) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (cos (+ eps x)) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))))
#s(approx (cos (+ eps x)) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))) (sin.f64 x)))))
#s(approx (sin (+ eps x)) (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))))
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Calls

6 calls:

Time	Variable	Point
25.0ms	x	-inf
20.0ms	x	0
16.0ms	eps	0
15.0ms	x	inf
11.0ms	eps	inf

rewrite290.0ms (3.3%)

Memory

40.5MiB live, 455.1MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	2443
0	126	2322
1	714	1385
2	3423	1385
0	5160	1276

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

63 → 1 201

Calls

Call 1

Inputs
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eps
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#s(literal 1 binary64)
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(.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
(-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x))))))
#s(literal -1 binary64)
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x))))
#s(literal -1/2 binary64)
(/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))
(.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(sin.f64 x)
x
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos.f64 x)
(fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))
#s(literal 1/6 binary64)
(/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x))
(.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (tan x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/3 binary64)
(pow.f64 x #s(literal 2 binary64))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64))) (tan.f64 x))
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)))
(+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64))
(+.f64 (+.f64 (PI.f64) x) eps)
(+.f64 (PI.f64) x)
(PI.f64)
(tan.f64 x)
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 eps x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(neg.f64 (cos.f64 x))
(tan.f64 (+.f64 eps x))
(+.f64 eps x)
(/.f64 (fma.f64 (neg.f64 (tan.f64 x)) (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x)))
(fma.f64 (neg.f64 (tan.f64 x)) (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))
(neg.f64 (tan.f64 x))
(cos.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (tan.f64 x) (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) #s(literal -1/3 binary64))) eps (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)))) eps (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))
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(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(/.f64 (sin.f64 (neg.f64 x)) (cos.f64 x))
(/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))
(neg.f64 (tan.f64 x))
(tan.f64 (neg.f64 (+.f64 (PI.f64) x)))
(tan.f64 (+.f64 (neg.f64 x) (PI.f64)))
(tan.f64 (neg.f64 x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x)))) (.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))) (+.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(neg.f64 (neg.f64 (cos.f64 (+.f64 eps x))))
(sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)))
(fma.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (cos.f64 (neg.f64 (PI.f64))) (*.f64 (sin.f64 (-.f64 (neg.f64 x) eps)) (sin.f64 (neg.f64 (PI.f64)))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 (neg.f64 x))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 (neg.f64 eps))))
(fma.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 (neg.f64 x))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (neg.f64 eps))))
(-.f64 (.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (cos.f64 (PI.f64))) (.f64 (sin.f64 (-.f64 (neg.f64 x) eps)) (sin.f64 (PI.f64))))
(-.f64 (.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 (PI.f64) eps))) (.f64 (sin.f64 (+.f64 (PI.f64) x)) (sin.f64 (+.f64 (PI.f64) eps))))
(-.f64 (.f64 (cos.f64 (PI.f64)) (neg.f64 (cos.f64 (+.f64 eps x)))) (.f64 (sin.f64 (PI.f64)) (sin.f64 (-.f64 (neg.f64 x) eps))))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(cos.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64))))
(cos.f64 (neg.f64 (fabs.f64 (+.f64 eps x))))
(cos.f64 (fabs.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64))))
(cos.f64 (fabs.f64 (fabs.f64 (+.f64 eps x))))
(cos.f64 (-.f64 (neg.f64 x) eps))
(cos.f64 (fabs.f64 (+.f64 eps x)))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)))
(+.f64 (.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (cos.f64 (neg.f64 (PI.f64)))) (.f64 (sin.f64 (-.f64 (neg.f64 x) eps)) (sin.f64 (neg.f64 (PI.f64)))))
(+.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (.f64 (sin.f64 eps) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 (neg.f64 x))))
(+.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 (neg.f64 eps))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))) (.f64 (sin.f64 eps) (cos.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))))))
(sin.f64 (+.f64 eps x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 (neg.f64 eps))))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x)))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (.f64 (cos.f64 eps) (sin.f64 x))))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 (neg.f64 x))))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)))

eval392.0ms (4.4%)

Memory: -20.1MiB live, 637.6MiB allocated; 135ms collecting garbage
Compiler: Compiled 204 204 to 15 082 computations (92.6% saved)

prune71.0ms (0.8%)

Memory

13.4MiB live, 107.5MiB allocated; 5ms collecting garbage

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	1 308	20	1 328
Fresh	8	8	16
Picked	5	0	5
Done	0	1	1
Total	1 321	29	1 350

Accuracy

100.0%

Counts

1 350 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.3%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (sin.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
	63.3%	(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)))) (tan.f64 (+.f64 eps x)))
	63.3%	(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (tan.f64 (+.f64 eps x)))
▶	63.4%	(/.f64 (fma.f64 (neg.f64 (tan.f64 x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (sin.f64 (+.f64 eps x))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))))
	63.3%	(/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 x)) (cos.f64 x))
	63.4%	(/.f64 #s(approx (+ (* (neg (tan x)) (cos (+ eps x))) (sin (+ eps x))) (+.f64 (sin.f64 x) (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))) (cos.f64 (+.f64 eps x)))
	97.9%	(/.f64 #s(approx (+ (* (neg (tan x)) (cos (+ eps x))) (sin (+ eps x))) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))
	4.3%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))) (tan.f64 x))
▶	4.4%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64))) (/.f64 (sin.f64 x) (cos.f64 x)))
	4.4%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) x) (PI.f64))) (tan.f64 x))
	4.3%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
	7.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
	7.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	63.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	62.3%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) x x)))
	62.8%	(-.f64 (tan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps)) (tan.f64 x))
	100.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (tan.f64 x) (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) #s(literal -1/3 binary64))) eps (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)))) eps (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps)))
▶	100.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (tan.f64 x) (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) #s(literal -1/3 binary64))) eps (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)))) eps (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))
	99.5%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps (-.f64 #s(approx ( -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (.f64 #s(literal 2/3 binary64) (.f64 eps x))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps #s(approx (- ( -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2/3 binary64) (.f64 eps x))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps #s(approx (- ( -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) #s(literal 1/3 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps #s(approx (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 4/3 binary64) eps (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps #s(approx (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) #s(approx ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))) (.f64 eps (fma.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
▶	98.5%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))
▶	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))

Compiler

Compiled 5 289 to 1 668 computations (68.5% saved)

sample1.0ms (0.0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
-1/2
1
1/6
-1/6
-1/3
1/3
2
2/3
4/3
(PI)
1/2

Outputs
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(literal 6004799503160661/36028797018963968 binary64)
#s(literal -6004799503160661/36028797018963968 binary64)
#s(literal -6004799503160661/18014398509481984 binary64)
#s(literal 6004799503160661/18014398509481984 binary64)
#s(literal 2 binary64)
#s(literal 6004799503160661/9007199254740992 binary64)
#s(literal 6004799503160661/4503599627370496 binary64)
#s(literal 884279719003555/281474976710656 binary64)
#s(literal 1/2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 13 to 13 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series235.0ms (2.7%)

Memory

1.8MiB live, 346.8MiB allocated; 137ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1638	28659

Stop Event

1×	iter-limit

Counts

64 → 315

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (tan.f64 x) (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) #s(literal -1/3 binary64))) eps (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)))) eps (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))
(.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (tan.f64 x) (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) #s(literal -1/3 binary64))) eps (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)))) eps (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps)
(fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (tan.f64 x) (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) #s(literal -1/3 binary64))) eps (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)))) eps (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)))
(tan.f64 x)
x
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (tan.f64 x) (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) #s(literal -1/3 binary64))) eps (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)))) eps (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))
(fma.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (tan.f64 x) (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) #s(literal -1/3 binary64))) eps (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)))) eps (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)))
(neg.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (tan.f64 x) (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) #s(literal -1/3 binary64))) eps (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64))))
(fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (tan.f64 x) (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) #s(literal -1/3 binary64))) eps (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)))
(fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (tan.f64 x) (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) #s(literal -1/3 binary64)))
(-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64)))
#s(literal -1/2 binary64)
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))
(*.f64 (tan.f64 x) (tan.f64 x))
#s(literal 1/6 binary64)
(.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))
#s(literal -1/6 binary64)
(.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) #s(literal -1/3 binary64))
(*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))
#s(literal -1/3 binary64)
eps
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
(.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal 1/3 binary64)
(pow.f64 eps #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
(.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))
#s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
(.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
(fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal 2/3 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal 4/3 binary64)
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64))) (/.f64 (sin.f64 x) (cos.f64 x)))
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)))
(+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64))
(+.f64 (+.f64 (PI.f64) x) eps)
(+.f64 (PI.f64) x)
(PI.f64)
(/.f64 (sin.f64 x) (cos.f64 x))
(sin.f64 x)
(cos.f64 x)
(/.f64 (fma.f64 (neg.f64 (tan.f64 x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (sin.f64 (+.f64 eps x))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))))
(fma.f64 (neg.f64 (tan.f64 x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (sin.f64 (+.f64 eps x)))
(neg.f64 (tan.f64 x))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))
#s(literal 1/2 binary64)
(+.f64 eps x)
(sin.f64 (+.f64 eps x))

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (-.f64 (/.f64 (.f64 x (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (* (+ (* (tan x) (tan x)) (+ (* (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) 1)) eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* (+ (* (tan x) (tan x)) (+ (* (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) 1)) eps) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
#s(approx (* (+ (* (tan x) (tan x)) (+ (* (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) 1)) eps) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (fma.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (* (+ (* (tan x) (tan x)) (+ (* (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) 1)) eps) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (fma.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (+ (* (tan x) (tan x)) (+ (* (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (+ (* (tan x) (tan x)) (+ (* (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (+ (* (tan x) (tan x)) (+ (* (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))
#s(approx (+ (* (tan x) (tan x)) (+ (* (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))))
#s(approx (tan x) x)
#s(approx (tan x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
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#s(approx (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (* x (+ 1 (* 4/3 (pow eps 2)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (- (tan (+ (+ (+ (PI) x) eps) (PI))) (/ (sin x) (cos x))) (/.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64))))))
#s(approx (- (tan (+ (+ (+ (PI) x) eps) (PI))) (/ (sin x) (cos x))) (+.f64 (/.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64))))) (/.f64 (.f64 x (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (cos.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)))))
#s(approx (- (tan (+ (+ (+ (PI) x) eps) (PI))) (/ (sin x) (cos x))) (fma.f64 x (-.f64 (/.f64 (.f64 x (.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))))))) (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))))) (/.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (- (tan (+ (+ (+ (PI) x) eps) (PI))) (/ (sin x) (cos x))) (fma.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))))) (/.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (cos.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (tan (+ (+ (+ (PI) x) eps) (PI))) (fma.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))))) (/.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (cos.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (tan (+ (+ (+ (PI) x) eps) (PI))) (fma.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))))))) (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))))) (/.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (tan (+ (+ (+ (PI) x) eps) (PI))) (fma.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))))) (/.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (cos.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (+ (+ (+ (PI) x) eps) (PI)) (+.f64 eps (*.f64 #s(literal 2 binary64) (PI.f64))))
#s(approx (+ (+ (+ (PI) x) eps) (PI)) (+.f64 eps (+.f64 x (*.f64 #s(literal 2 binary64) (PI.f64)))))
#s(approx (+ (+ (PI) x) eps) (+.f64 eps (PI.f64)))
#s(approx (+ (+ (PI) x) eps) (+.f64 eps (+.f64 x (PI.f64))))
#s(approx (+ (PI) x) (PI.f64))
#s(approx (+ (PI) x) (+.f64 x (PI.f64)))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (* (neg (tan x)) (sin (+ (* (PI) 1/2) (+ eps x)))) (sin (+ eps x))) (sin (+ (* (PI) 1/2) (+ eps x)))) (/.f64 (sin.f64 eps) (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (/ (+ (* (neg (tan x)) (sin (+ (* (PI) 1/2) (+ eps x)))) (sin (+ eps x))) (sin (+ (* (PI) 1/2) (+ eps x)))) (fma.f64 x (-.f64 (/.f64 (cos.f64 eps) (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 eps)) (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (/ (+ (* (neg (tan x)) (sin (+ (* (PI) 1/2) (+ eps x)))) (sin (+ eps x))) (sin (+ (* (PI) 1/2) (+ eps x)))) (fma.f64 x (-.f64 (fma.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (/.f64 (.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (/.f64 (cos.f64 eps) (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 eps)) (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (/.f64 (cos.f64 eps) (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 eps)) (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (/ (+ (* (neg (tan x)) (sin (+ (* (PI) 1/2) (+ eps x)))) (sin (+ eps x))) (sin (+ (* (PI) 1/2) (+ eps x)))) (fma.f64 x (-.f64 (fma.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal 1/3 binary64) (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 eps) (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64))))))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (cos.f64 eps) (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 eps)) (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 eps)) (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (/.f64 (.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (/.f64 (cos.f64 eps) (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 eps)) (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64))))))) (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))))))))) (/.f64 (.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (/.f64 (cos.f64 eps) (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 eps)) (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (/.f64 (cos.f64 eps) (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 eps)) (pow.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (+ (* (neg (tan x)) (sin (+ (* (PI) 1/2) (+ eps x)))) (sin (+ eps x))) (sin.f64 eps))
#s(approx (+ (* (neg (tan x)) (sin (+ (* (PI) 1/2) (+ eps x)))) (sin (+ eps x))) (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))
#s(approx (+ (* (neg (tan x)) (sin (+ (* (PI) 1/2) (+ eps x)))) (sin (+ eps x))) (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (fma.f64 #s(literal -1 binary64) (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)))))))))
#s(approx (+ (* (neg (tan x)) (sin (+ (* (PI) 1/2) (+ eps x)))) (sin (+ eps x))) (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (fma.f64 #s(literal -1 binary64) (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 x (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal 1/3 binary64) (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (*.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))))))))
#s(approx (neg (tan x)) (*.f64 #s(literal -1 binary64) x))
#s(approx (neg (tan x)) (.f64 x (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (neg (tan x)) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 1 binary64))))
#s(approx (neg (tan x)) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2/15 binary64))) #s(literal 1/3 binary64))) #s(literal 1 binary64))))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (+.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (+.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (+.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64))))))))))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (+.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (+.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64))))))))))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (+.f64 eps (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (sin (+ eps x)) (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))))
#s(approx (sin (+ eps x)) (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))))))
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#s(approx (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))))) (fma.f64 eps (+.f64 x (.f64 eps (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64))))
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#s(approx (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (+.f64 x (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (fma.f64 #s(literal 2/3 binary64) eps (*.f64 #s(literal 4/3 binary64) x)))))))
#s(approx (+ 1 (* 2/3 (pow eps 2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (* 2/3 (pow eps 2)) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* x (+ 1 (* 4/3 (pow eps 2)))) (+.f64 x (.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (+ 1 (* 4/3 (pow eps 2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (* 4/3 (pow eps 2)) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))
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#s(approx (+ (+ (+ (PI) x) eps) (PI)) (+.f64 x (*.f64 #s(literal 2 binary64) (PI.f64))))
#s(approx (/ (+ (* (neg (tan x)) (sin (+ (* (PI) 1/2) (+ eps x)))) (sin (+ eps x))) (sin (+ (* (PI) 1/2) (+ eps x)))) (/.f64 (+.f64 (sin.f64 x) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))))) (cos.f64 x)))) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))))))
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#s(approx (+ eps x) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (sin (+ eps x)) (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))

Calls

6 calls:

Time	Variable	Point
34.0ms	x	-inf
17.0ms	x	inf
12.0ms	eps	inf
10.0ms	eps	-inf
10.0ms	eps	0

rewrite193.0ms (2.2%)

Memory

10.0MiB live, 292.5MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	2421
0	158	2294
1	1028	1884
0	4257	1787

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

64 → 723

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (tan.f64 x) (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) #s(literal -1/3 binary64))) eps (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)))) eps (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))
(.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (tan.f64 x) (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) #s(literal -1/3 binary64))) eps (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)))) eps (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps)
(fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (tan.f64 x) (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) #s(literal -1/3 binary64))) eps (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)))) eps (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)))
(tan.f64 x)
x
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (tan.f64 x) (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) #s(literal -1/3 binary64))) eps (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)))) eps (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))
(fma.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (tan.f64 x) (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) #s(literal -1/3 binary64))) eps (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)))) eps (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)))
(neg.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (tan.f64 x) (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) #s(literal -1/3 binary64))) eps (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64))))
(fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (tan.f64 x) (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) #s(literal -1/3 binary64))) eps (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)))
(fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (tan.f64 x) (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) #s(literal -1/3 binary64)))
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(-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64)))
#s(literal -1/2 binary64)
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))
(*.f64 (tan.f64 x) (tan.f64 x))
#s(literal 1/6 binary64)
(.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))
#s(literal -1/6 binary64)
(.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) #s(literal -1/3 binary64))
(*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))
#s(literal -1/3 binary64)
eps
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(.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal 1/3 binary64)
(pow.f64 eps #s(literal 2 binary64))
#s(literal 2 binary64)
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(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
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(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal 2/3 binary64)
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(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal 4/3 binary64)
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(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)))
(+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64))
(+.f64 (+.f64 (PI.f64) x) eps)
(+.f64 (PI.f64) x)
(PI.f64)
(/.f64 (sin.f64 x) (cos.f64 x))
(sin.f64 x)
(cos.f64 x)
(/.f64 (fma.f64 (neg.f64 (tan.f64 x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (sin.f64 (+.f64 eps x))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))))
(fma.f64 (neg.f64 (tan.f64 x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (sin.f64 (+.f64 eps x)))
(neg.f64 (tan.f64 x))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))
#s(literal 1/2 binary64)
(+.f64 eps x)
(sin.f64 (+.f64 eps x))

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (tan.f64 x) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) #s(literal -1/3 binary64)))) eps)) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))
(.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (tan.f64 x) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) #s(literal -1/3 binary64)))) eps)) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps)
(.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (tan.f64 x) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) #s(literal -1/3 binary64)))) eps)) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (tan.f64 x) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) #s(literal -1/3 binary64)))) eps)) eps (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps)))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (tan.f64 x) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) #s(literal -1/3 binary64)))) eps)) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (tan.f64 x) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) #s(literal -1/3 binary64)))) eps)) eps (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)))) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (tan.f64 x) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) #s(literal -1/3 binary64)))) eps)) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (tan.f64 x) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) #s(literal -1/3 binary64)))) eps)) eps (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (tan.f64 x) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) #s(literal -1/3 binary64)))) eps)) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
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(/.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) (.f64 x x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) x))
(/.f64 (-.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (+.f64 eps x) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (-.f64 (neg.f64 x) eps) (-.f64 (neg.f64 x) eps))) (+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (neg.f64 x) eps)))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) (-.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) x))))
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (+.f64 eps x) (.f64 #s(literal 1/2 binary64) (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (-.f64 (neg.f64 x) eps) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (-.f64 (neg.f64 x) eps) (-.f64 (neg.f64 x) eps) (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (neg.f64 x) eps)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (+.f64 eps x) (+.f64 eps x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 eps x)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (+.f64 eps x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 eps x)))))
(neg.f64 (-.f64 (-.f64 (neg.f64 x) eps) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) (neg.f64 x))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (neg.f64 x) eps))
(-.f64 (+.f64 eps x) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(-.f64 (+.f64 eps x) (*.f64 (neg.f64 (PI.f64)) #s(literal 1/2 binary64)))
(-.f64 (+.f64 eps x) (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 eps x))
(+.f64 (+.f64 eps x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(literal 1/2 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) eps)) eps)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x)
(/.f64 (-.f64 (.f64 eps eps) (.f64 (neg.f64 x) (neg.f64 x))) (+.f64 eps (neg.f64 x)))
(/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (+.f64 x (neg.f64 eps)))
(/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (-.f64 x eps))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 eps (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (.f64 eps eps) (.f64 x (neg.f64 eps)))))
(/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (-.f64 eps x))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (.f64 x x) (.f64 eps x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 eps eps) (.f64 x eps))))
(neg.f64 (-.f64 (neg.f64 x) eps))
(-.f64 eps (neg.f64 x))
(-.f64 x (neg.f64 eps))
(+.f64 eps (neg.f64 (neg.f64 x)))
(+.f64 eps x)
(+.f64 x (neg.f64 (neg.f64 eps)))
(+.f64 x eps)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))) (.f64 (sin.f64 eps) (cos.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))))))
(sin.f64 (+.f64 eps x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 (neg.f64 eps))))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x)))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (.f64 (cos.f64 eps) (sin.f64 x))))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)))

eval316.0ms (3.6%)

Memory: 17.5MiB live, 628.6MiB allocated; 109ms collecting garbage
Compiler: Compiled 151 286 to 8 414 computations (94.4% saved)

prune92.0ms (1.0%)

Memory

14.4MiB live, 200.3MiB allocated; 26ms collecting garbage

Pruning

33 alts after pruning (30 fresh and 3 done)

	Pruned	Kept	Total
New	1 011	18	1 029
Fresh	11	12	23
Picked	3	2	5
Done	0	1	1
Total	1 025	33	1 058

Accuracy

100.0%

Counts

1 058 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.3%	(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)))) (tan.f64 (+.f64 eps x)))
	63.3%	(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (tan.f64 (+.f64 eps x)))
✓	63.4%	(/.f64 (fma.f64 (neg.f64 (tan.f64 x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (sin.f64 (+.f64 eps x))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))))
	97.9%	(/.f64 #s(approx (+ (* (neg (tan x)) (sin (+ (* (PI) 1/2) (+ eps x)))) (sin (+ eps x))) (sin.f64 eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))))
	63.4%	(/.f64 #s(approx (+ (* (neg (tan x)) (cos (+ eps x))) (sin (+ eps x))) (+.f64 (sin.f64 x) (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))) (cos.f64 (+.f64 eps x)))
	97.9%	(/.f64 #s(approx (+ (* (neg (tan x)) (cos (+ eps x))) (sin (+ eps x))) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))
	4.3%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))) (tan.f64 x))
✓	4.4%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64))) (/.f64 (sin.f64 x) (cos.f64 x)))
	4.4%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) x) (PI.f64))) (tan.f64 x))
	4.3%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
	7.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
	7.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	63.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	62.8%	(-.f64 (tan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps)) (tan.f64 x))
	100.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (tan.f64 x) (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) #s(literal -1/3 binary64))) eps (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)))) eps (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps)))
	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 (fma.f64 (neg.f64 (fma.f64 #s(approx (+ ( (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) (.f64 #s(literal -2/3 binary64) x)) eps (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)))) eps (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))
	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 (fma.f64 #s(approx (neg (+ ( (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2/3 binary64) (.f64 eps x)))) eps (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))
	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 (fma.f64 #s(approx (neg (+ ( (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) #s(literal 1/3 binary64)) eps (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))
▶	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 #s(approx (+ ( (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 4/3 binary64) eps (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))) eps #s(literal 1 binary64))) eps))
	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 #s(approx (+ ( (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))) eps #s(literal 1 binary64))) eps))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 #s(approx (+ ( (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) (*.f64 #s(literal 1/3 binary64) eps)) eps #s(literal 1 binary64))) eps))
▶	100.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (tan.f64 x) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) #s(literal -1/3 binary64)))) eps)) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))
▶	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps))
	98.5%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps (.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) x)) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal -1 binary64))) eps))
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	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (tan x) (tan x)) (+ (* (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) eps))
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	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64))))))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 3 binary64))))))))))
▶	44.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4/3 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 2/3 binary64)))))))))))
	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))))) (fma.f64 eps x (pow.f64 x #s(literal 2 binary64))))))))
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Compiler

Compiled 7 108 to 2 203 computations (69.0% saved)

sample1.0ms (0.0%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
2
-1
-1/6
1/6
-1/2
-1/3
1
1/3
3
4/3
2/3
17/9

Outputs
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal -6004799503160661/36028797018963968 binary64)
#s(literal 6004799503160661/36028797018963968 binary64)
#s(literal -1/2 binary64)
#s(literal -6004799503160661/18014398509481984 binary64)
#s(literal 1 binary64)
#s(literal 6004799503160661/18014398509481984 binary64)
#s(literal 3 binary64)
#s(literal 6004799503160661/4503599627370496 binary64)
#s(literal 6004799503160661/9007199254740992 binary64)
#s(literal 4253399648072135/2251799813685248 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 14 to 14 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series224.0ms (2.5%)

Memory

13.3MiB live, 530.8MiB allocated; 91ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1650	34148

Stop Event

1×	iter-limit

Counts

73 → 371

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (tan.f64 x) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) #s(literal -1/3 binary64)))) eps)) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))
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(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (tan.f64 x) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) #s(literal -1/3 binary64)))) eps)) eps (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan.f64 x)
x
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#s(approx (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 4/3 binary64) eps (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
(fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 4/3 binary64) eps (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 4/3 binary64) eps (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 4/3 binary64) eps (.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
(fma.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 4/3 binary64) eps (.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
(.f64 x (fma.f64 #s(literal 4/3 binary64) eps (.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
(fma.f64 #s(literal 4/3 binary64) eps (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal 17/9 binary64)

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (-.f64 (/.f64 (.f64 x (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (* (+ (pow (tan x) 2) (+ (* (+ (* (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) eps) (* (- (pow (tan x) 2) -1) (tan x))) eps) 1)) eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* (+ (pow (tan x) 2) (+ (* (+ (* (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) eps) (* (- (pow (tan x) 2) -1) (tan x))) eps) 1)) eps) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
#s(approx (* (+ (pow (tan x) 2) (+ (* (+ (* (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) eps) (* (- (pow (tan x) 2) -1) (tan x))) eps) 1)) eps) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (fma.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (* (+ (pow (tan x) 2) (+ (* (+ (* (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) eps) (* (- (pow (tan x) 2) -1) (tan x))) eps) 1)) eps) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (fma.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (+ (pow (tan x) 2) (+ (* (+ (* (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) eps) (* (- (pow (tan x) 2) -1) (tan x))) eps) 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (+ (pow (tan x) 2) (+ (* (+ (* (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) eps) (* (- (pow (tan x) 2) -1) (tan x))) eps) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (+ (pow (tan x) 2) (+ (* (+ (* (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) eps) (* (- (pow (tan x) 2) -1) (tan x))) eps) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))
#s(approx (+ (pow (tan x) 2) (+ (* (+ (* (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) eps) (* (- (pow (tan x) 2) -1) (tan x))) eps) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))))
#s(approx (pow (tan x) 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (pow (tan x) 2) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (pow (tan x) 2) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 17/45 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (pow (tan x) 2) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 17/45 binary64) (.f64 #s(literal 62/315 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (tan x) x)
#s(approx (tan x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (tan x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (tan x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (+ (* (+ (* (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) eps) (* (- (pow (tan x) 2) -1) (tan x))) eps) 1) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))
#s(approx (+ (* (+ (* (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) eps) (* (- (pow (tan x) 2) -1) (tan x))) eps) 1) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (fma.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))))
#s(approx (+ (* (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) eps) (* (- (pow (tan x) 2) -1) (tan x))) (*.f64 #s(literal 1/3 binary64) eps))
#s(approx (+ (* (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) eps) (* (- (pow (tan x) 2) -1) (tan x))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (+ (* (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) eps) (* (- (pow (tan x) 2) -1) (tan x))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 4/3 binary64) (*.f64 eps x)))))))
#s(approx (+ (* (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) eps) (* (- (pow (tan x) 2) -1) (tan x))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 4/3 binary64) eps (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
#s(approx (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) #s(literal 1/3 binary64))
#s(approx (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2/3 binary64) (.f64 eps x))))
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#s(approx (+ (* 4/3 eps) (* x (+ 4/3 (* 17/9 (pow eps 2))))) (*.f64 #s(literal 4/3 binary64) eps))
#s(approx (+ (* 4/3 eps) (* x (+ 4/3 (* 17/9 (pow eps 2))))) (fma.f64 #s(literal 4/3 binary64) eps (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (* x (+ 4/3 (* 17/9 (pow eps 2)))) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
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#s(approx (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (-.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
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#s(approx (+ (* 1/3 eps) (* x (+ 1 (+ (* 2/3 (pow eps 2)) (* x (+ (* 4/3 eps) (* x (+ 4/3 (* 17/9 (pow eps 2)))))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 2 binary64))))) eps))) #s(literal 1/3 binary64)) eps) (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* x (+ 1 (+ (* 2/3 (pow eps 2)) (* x (+ (* 4/3 eps) (* x (+ 4/3 (* 17/9 (pow eps 2))))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 2 binary64))))) eps))) eps) (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ 1 (+ (* 2/3 (pow eps 2)) (* x (+ (* 4/3 eps) (* x (+ 4/3 (* 17/9 (pow eps 2)))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4/3 binary64) x (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 2 binary64)))) eps))) eps) (.f64 #s(literal 17/9 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* 2/3 (pow eps 2)) (* x (+ (* 4/3 eps) (* x (+ 4/3 (* 17/9 (pow eps 2))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4/3 binary64) x (.f64 #s(literal -4/3 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))) eps) (*.f64 #s(literal 17/9 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (+ (* 4/3 eps) (* x (+ 4/3 (* 17/9 (pow eps 2)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4/3 binary64) x (.f64 #s(literal -4/3 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))) eps) (*.f64 #s(literal 17/9 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (* 4/3 eps) (* x (+ 4/3 (* 17/9 (pow eps 2))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -4/3 binary64) (/.f64 x eps)) #s(literal 4/3 binary64)) eps) (*.f64 #s(literal 17/9 binary64) x))))

Calls

6 calls:

Time	Variable	Point
21.0ms	eps	-inf
21.0ms	x	inf
21.0ms	x	-inf
17.0ms	eps	0
12.0ms	eps	inf

rewrite362.0ms (4.1%)

Memory

32.9MiB live, 482.8MiB allocated; 169ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	3240
0	203	3042
1	1451	2646
0	4157	2588

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

73 → 761

Calls

Call 1

Inputs
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(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan.f64 x)
x
#s(literal 2 binary64)
(fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (tan.f64 x) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) #s(literal -1/3 binary64)))) eps)) eps (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))
(fma.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (tan.f64 x) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) #s(literal -1/3 binary64)))) eps)) eps (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x)))
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(-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
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#s(literal 1/6 binary64)
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#s(literal -1/2 binary64)
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(.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) #s(literal -1/3 binary64)))
(*.f64 (tan.f64 x) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
eps
(*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))
#s(literal 1 binary64)
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps))
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(*.f64 eps eps)
#s(literal 1/3 binary64)
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4/3 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 2/3 binary64)))))))))))
(.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4/3 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 2/3 binary64))))))))))
#s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4/3 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 2/3 binary64)))))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4/3 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 2/3 binary64))))))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4/3 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 2/3 binary64)))))))
(pow.f64 eps #s(literal 2 binary64))
(.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4/3 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 2/3 binary64))))))
#s(approx (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4/3 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 2/3 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4/3 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 2/3 binary64))))
(.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4/3 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 2/3 binary64)))
(pow.f64 eps #s(literal 3 binary64))
#s(literal 3 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4/3 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 2/3 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4/3 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps))
(/.f64 (fma.f64 #s(literal 4/3 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)
(fma.f64 #s(literal 4/3 binary64) x (/.f64 #s(literal 1 binary64) eps))
#s(literal 4/3 binary64)
(/.f64 #s(literal 1 binary64) eps)
#s(literal 2/3 binary64)
(-.f64 (tan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps)) (tan.f64 x))
(tan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps)
(+.f64 #s(literal 1 binary64) (/.f64 x eps))
(/.f64 x eps)
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 #s(approx (+ ( (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 4/3 binary64) eps (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))) eps #s(literal 1 binary64))) eps))
(.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 #s(approx (+ ( (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 4/3 binary64) eps (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))) eps #s(literal 1 binary64))) eps)
(fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 #s(approx (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 4/3 binary64) eps (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))) eps #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 4/3 binary64) eps (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))) eps #s(literal 1 binary64))
#s(approx (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 4/3 binary64) eps (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
(fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 4/3 binary64) eps (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 4/3 binary64) eps (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 4/3 binary64) eps (.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
(fma.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 4/3 binary64) eps (.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
(.f64 x (fma.f64 #s(literal 4/3 binary64) eps (.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
(fma.f64 #s(literal 4/3 binary64) eps (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal 17/9 binary64)

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/6 binary64))) (tan.f64 x) (.f64 (.f64 (tan.f64 x) #s(literal -1/3 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) eps)) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))
(.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/6 binary64))) (tan.f64 x) (.f64 (.f64 (tan.f64 x) #s(literal -1/3 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) eps)) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps)
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(.f64 (.f64 eps eps) #s(literal 17/9 binary64))
#s(literal 17/9 binary64)

eval385.0ms (4.3%)

Memory: -11.0MiB live, 370.3MiB allocated; 131ms collecting garbage
Compiler: Compiled 203 601 to 10 800 computations (94.7% saved)

prune55.0ms (0.6%)

Memory

-19.1MiB live, 73.7MiB allocated; 4ms collecting garbage

Pruning

33 alts after pruning (28 fresh and 5 done)

	Pruned	Kept	Total
New	1 097	16	1 113
Fresh	13	12	25
Picked	3	2	5
Done	0	3	3
Total	1 113	33	1 146

Accuracy

100.0%

Counts

1 146 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.3%	(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)))) (tan.f64 (+.f64 eps x)))
	63.3%	(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (tan.f64 (+.f64 eps x)))
✓	63.4%	(/.f64 (fma.f64 (neg.f64 (tan.f64 x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (sin.f64 (+.f64 eps x))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))))
	63.4%	(/.f64 #s(approx (+ (* (neg (tan x)) (cos (+ eps x))) (sin (+ eps x))) (+.f64 (sin.f64 x) (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))) (cos.f64 (+.f64 eps x)))
✓	4.4%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64))) (/.f64 (sin.f64 x) (cos.f64 x)))
	4.4%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) x) (PI.f64))) (tan.f64 x))
	4.3%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
	7.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
	7.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	63.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	62.8%	(-.f64 (tan.f64 (*.f64 (-.f64 (/.f64 x eps) #s(literal -1 binary64)) eps)) (tan.f64 x))
	100.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (tan.f64 x) (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) #s(literal -1/3 binary64))) eps (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)))) eps (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps)))
	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 (fma.f64 (neg.f64 (fma.f64 #s(approx (+ ( (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) (.f64 #s(literal -2/3 binary64) x)) eps (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)))) eps (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))
	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (fma.f64 #s(approx (+ ( (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 (-.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) (.f64 (fma.f64 #s(literal 4/3 binary64) eps (.f64 (fma.f64 #s(literal 17/9 binary64) (*.f64 eps eps) #s(literal 4/3 binary64)) x)) x)) #s(literal -1 binary64)) x))) eps #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
✓	100.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (tan.f64 x) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) #s(literal -1/3 binary64)))) eps)) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))
	100.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (tan.f64 x) #s(approx (* (- (pow (tan x) 2) -1) (* (tan x) -1/3)) (.f64 #s(literal -1/3 binary64) x))) eps)) eps (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))
	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (.f64 #s(approx (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) (.f64 #s(literal -2/3 binary64) x)) eps)) eps (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))
	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(approx (- (- (+ ( (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2/3 binary64) (.f64 eps x)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))
	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(approx (- (- (+ ( (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) #s(literal 1/3 binary64)) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))
	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) eps) (* (- (pow (tan x) 2) -1) (tan x))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))) eps #s(literal 1 binary64))) eps))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) eps) (* (- (pow (tan x) 2) -1) (tan x))) (*.f64 #s(literal 1/3 binary64) eps)) eps #s(literal 1 binary64))) eps))
✓	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) eps))
	98.5%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps (.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) x)) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal -1 binary64))) eps))
	44.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (-.f64 (fma.f64 #s(approx (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 4/3 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 2/3 binary64)) (.f64 (.f64 eps eps) eps)))) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal -1 binary64))) eps))
	44.8%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)))) eps))
	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ (pow (tan x) 2) (+ ( (+ (* (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) eps) (* (- (pow (tan x) 2) -1) (tan x))) eps) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps))
	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps #s(approx (- ( -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2/3 binary64) (.f64 eps x))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
	98.2%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (.f64 #s(literal -1 binary64) #s(approx ( (pow eps 3) (- (* -1 (/ (+ (* 4/3 x) (/ 1 eps)) eps)) 2/3)) (*.f64 #s(literal -1 binary64) eps))))))))))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) #s(approx (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 4/3 x) (/ 1 eps)) eps)) 2/3))) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps x))))))))))))
	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))))) (fma.f64 eps x (pow.f64 x #s(literal 2 binary64))))))))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ (pow (tan x) 2) (+ (* (+ (* (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) eps) (* (- (pow (tan x) 2) -1) (tan x))) eps) 1)) eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))

Compiler

Compiled 4 061 to 1 299 computations (68.0% saved)

regimes670.0ms (7.6%)

Memory

39.8MiB live, 610.1MiB allocated; 174ms collecting garbage

Counts

4 → 1

8 → 1

16 → 1

32 → 1

33 → 1

40 → 1

48 → 1

54 → 1

55 → 1

64 → 1

65 → 1

66 → 1

72 → 1

73 → 1

76 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))

Outputs

#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps))

Call 2

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))))) (fma.f64 eps x (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (.f64 #s(literal -1 binary64) #s(approx ( (pow eps 3) (- (* -1 (/ (+ (* 4/3 x) (/ 1 eps)) eps)) 2/3)) (*.f64 #s(literal -1 binary64) eps))))))))))

Outputs

#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))))) (fma.f64 eps x (pow.f64 x #s(literal 2 binary64))))))))

Call 3

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))))) (fma.f64 eps x (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (.f64 #s(literal -1 binary64) #s(approx ( (pow eps 3) (- (* -1 (/ (+ (* 4/3 x) (/ 1 eps)) eps)) 2/3)) (*.f64 #s(literal -1 binary64) eps))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps (.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) x)) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) #s(approx (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 4/3 x) (/ 1 eps)) eps)) 2/3))) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps x))))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (-.f64 (fma.f64 #s(approx (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 4/3 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 2/3 binary64)) (.f64 (.f64 eps eps) eps)))) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 3 binary64))))))))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) x x)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (tan x) (tan x)) (+ (* (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))

Outputs

#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps (*.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)) x)) x (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal -1 binary64))) eps))

Call 4

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))))) (fma.f64 eps x (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (.f64 #s(literal -1 binary64) #s(approx ( (pow eps 3) (- (* -1 (/ (+ (* 4/3 x) (/ 1 eps)) eps)) 2/3)) (*.f64 #s(literal -1 binary64) eps))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps (.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) x)) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) #s(approx (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 4/3 x) (/ 1 eps)) eps)) 2/3))) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps x))))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (-.f64 (fma.f64 #s(approx (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 4/3 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 2/3 binary64)) (.f64 (.f64 eps eps) eps)))) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 3 binary64))))))))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) x x)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (tan x) (tan x)) (+ (* (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) eps) (* (- (pow (tan x) 2) -1) (tan x))) (*.f64 #s(literal 1/3 binary64) eps)) eps #s(literal 1 binary64))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4/3 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 2/3 binary64)))))))))))
(/.f64 #s(approx (+ (* (neg (tan x)) (cos (+ eps x))) (sin (+ eps x))) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))
(/.f64 #s(approx (+ (* (neg (tan x)) (sin (+ (* (PI) 1/2) (+ eps x)))) (sin (+ eps x))) (sin.f64 eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) x) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (*.f64 (-.f64 (/.f64 x eps) #s(literal -1 binary64)) eps)) (tan.f64 x))
(-.f64 (tan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))) (tan.f64 x))

Outputs

#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) eps) (* (- (pow (tan x) 2) -1) (tan x))) (*.f64 #s(literal 1/3 binary64) eps)) eps #s(literal 1 binary64))) eps))

Call 5

Inputs
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(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4/3 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 2/3 binary64)))))))))))
(/.f64 #s(approx (+ (* (neg (tan x)) (cos (+ eps x))) (sin (+ eps x))) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))
(/.f64 #s(approx (+ (* (neg (tan x)) (sin (+ (* (PI) 1/2) (+ eps x)))) (sin (+ eps x))) (sin.f64 eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) x) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (*.f64 (-.f64 (/.f64 x eps) #s(literal -1 binary64)) eps)) (tan.f64 x))
(-.f64 (tan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 #s(approx (+ ( (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) (*.f64 #s(literal 1/3 binary64) eps)) eps #s(literal 1 binary64))) eps))

Outputs

#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 #s(approx (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) (*.f64 #s(literal 1/3 binary64) eps)) eps #s(literal 1 binary64))) eps))

Call 6

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))))) (fma.f64 eps x (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (.f64 #s(literal -1 binary64) #s(approx ( (pow eps 3) (- (* -1 (/ (+ (* 4/3 x) (/ 1 eps)) eps)) 2/3)) (*.f64 #s(literal -1 binary64) eps))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps (.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) x)) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) #s(approx (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 4/3 x) (/ 1 eps)) eps)) 2/3))) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps x))))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (-.f64 (fma.f64 #s(approx (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 4/3 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 2/3 binary64)) (.f64 (.f64 eps eps) eps)))) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 3 binary64))))))))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) x x)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (tan x) (tan x)) (+ (* (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) eps) (* (- (pow (tan x) 2) -1) (tan x))) (*.f64 #s(literal 1/3 binary64) eps)) eps #s(literal 1 binary64))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4/3 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 2/3 binary64)))))))))))
(/.f64 #s(approx (+ (* (neg (tan x)) (cos (+ eps x))) (sin (+ eps x))) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))
(/.f64 #s(approx (+ (* (neg (tan x)) (sin (+ (* (PI) 1/2) (+ eps x)))) (sin (+ eps x))) (sin.f64 eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) x) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (*.f64 (-.f64 (/.f64 x eps) #s(literal -1 binary64)) eps)) (tan.f64 x))
(-.f64 (tan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 #s(approx (+ ( (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) (*.f64 #s(literal 1/3 binary64) eps)) eps #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) eps) (* (- (pow (tan x) 2) -1) (tan x))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))) eps #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (fma.f64 #s(approx (+ ( (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 (-.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) (.f64 (fma.f64 #s(literal 4/3 binary64) eps (.f64 (fma.f64 #s(literal 17/9 binary64) (*.f64 eps eps) #s(literal 4/3 binary64)) x)) x)) #s(literal -1 binary64)) x))) eps #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ (* (tan x) (tan x)) (+ (* (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) 1)) eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ (pow (tan x) 2) (+ (* (+ (* (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) eps) (* (- (pow (tan x) 2) -1) (tan x))) eps) 1)) eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 eps x)))

Outputs

#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) eps) (* (- (pow (tan x) 2) -1) (tan x))) (fma.f64 #s(literal 1/3 binary64) eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))) eps #s(literal 1 binary64))) eps))

Call 7

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps))
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(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) x) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (*.f64 (-.f64 (/.f64 x eps) #s(literal -1 binary64)) eps)) (tan.f64 x))
(-.f64 (tan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 #s(approx (+ ( (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) (*.f64 #s(literal 1/3 binary64) eps)) eps #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) eps) (* (- (pow (tan x) 2) -1) (tan x))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))) eps #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (fma.f64 #s(approx (+ ( (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 (-.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) (.f64 (fma.f64 #s(literal 4/3 binary64) eps (.f64 (fma.f64 #s(literal 17/9 binary64) (*.f64 eps eps) #s(literal 4/3 binary64)) x)) x)) #s(literal -1 binary64)) x))) eps #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ (* (tan x) (tan x)) (+ (* (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) 1)) eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ (pow (tan x) 2) (+ (* (+ (* (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) eps) (* (- (pow (tan x) 2) -1) (tan x))) eps) 1)) eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 eps x)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 #s(approx (+ ( (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))) eps #s(literal 1 binary64))) eps))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64))) (/.f64 (sin.f64 x) (cos.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (sin.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (tan.f64 (+.f64 eps x)))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)))) (tan.f64 (+.f64 eps x)))
(-.f64 (/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64))) (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)))) (tan.f64 x))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (tan.f64 (+.f64 eps x))) (sin.f64 x)) (cos.f64 x))
(/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 x)) (cos.f64 x))

Outputs

#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 #s(approx (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) (fma.f64 #s(literal 1/3 binary64) eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))) eps #s(literal 1 binary64))) eps))

Call 8

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))))) (fma.f64 eps x (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64))))))
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(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (tan.f64 (+.f64 eps x)))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)))) (tan.f64 (+.f64 eps x)))
(-.f64 (/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64))) (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)))) (tan.f64 x))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (tan.f64 (+.f64 eps x))) (sin.f64 x)) (cos.f64 x))
(/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 x)) (cos.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps #s(approx (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 #s(approx (+ ( (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 4/3 binary64) eps (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))) eps #s(literal 1 binary64))) eps))
(/.f64 (fma.f64 (neg.f64 (tan.f64 x)) (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x)))
(/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 eps x)) (tan.f64 x)) (sin.f64 (+.f64 eps x))) (neg.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (fma.f64 (neg.f64 (tan.f64 x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (sin.f64 (+.f64 eps x))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))))

Outputs

#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #s(approx (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (fma.f64 #s(literal 1/3 binary64) eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))

Call 9

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))))) (fma.f64 eps x (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (.f64 #s(literal -1 binary64) #s(approx ( (pow eps 3) (- (* -1 (/ (+ (* 4/3 x) (/ 1 eps)) eps)) 2/3)) (*.f64 #s(literal -1 binary64) eps))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps (.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) x)) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) #s(approx (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 4/3 x) (/ 1 eps)) eps)) 2/3))) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps x))))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (-.f64 (fma.f64 #s(approx (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 4/3 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 2/3 binary64)) (.f64 (.f64 eps eps) eps)))) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 3 binary64))))))))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) x x)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (tan x) (tan x)) (+ (* (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) eps) (* (- (pow (tan x) 2) -1) (tan x))) (*.f64 #s(literal 1/3 binary64) eps)) eps #s(literal 1 binary64))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4/3 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 2/3 binary64)))))))))))
(/.f64 #s(approx (+ (* (neg (tan x)) (cos (+ eps x))) (sin (+ eps x))) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))
(/.f64 #s(approx (+ (* (neg (tan x)) (sin (+ (* (PI) 1/2) (+ eps x)))) (sin (+ eps x))) (sin.f64 eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) x) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (*.f64 (-.f64 (/.f64 x eps) #s(literal -1 binary64)) eps)) (tan.f64 x))
(-.f64 (tan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 #s(approx (+ ( (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) (*.f64 #s(literal 1/3 binary64) eps)) eps #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) eps) (* (- (pow (tan x) 2) -1) (tan x))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))) eps #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (fma.f64 #s(approx (+ ( (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 (-.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) (.f64 (fma.f64 #s(literal 4/3 binary64) eps (.f64 (fma.f64 #s(literal 17/9 binary64) (*.f64 eps eps) #s(literal 4/3 binary64)) x)) x)) #s(literal -1 binary64)) x))) eps #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ (* (tan x) (tan x)) (+ (* (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) 1)) eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ (pow (tan x) 2) (+ (* (+ (* (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) eps) (* (- (pow (tan x) 2) -1) (tan x))) eps) 1)) eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 eps x)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 #s(approx (+ ( (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))) eps #s(literal 1 binary64))) eps))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64))) (/.f64 (sin.f64 x) (cos.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (sin.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (tan.f64 (+.f64 eps x)))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)))) (tan.f64 (+.f64 eps x)))
(-.f64 (/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64))) (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)))) (tan.f64 x))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (tan.f64 (+.f64 eps x))) (sin.f64 x)) (cos.f64 x))
(/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 x)) (cos.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps #s(approx (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 #s(approx (+ ( (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 4/3 binary64) eps (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))) eps #s(literal 1 binary64))) eps))
(/.f64 (fma.f64 (neg.f64 (tan.f64 x)) (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x)))
(/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 eps x)) (tan.f64 x)) (sin.f64 (+.f64 eps x))) (neg.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (fma.f64 (neg.f64 (tan.f64 x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (sin.f64 (+.f64 eps x))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(approx (- (- (+ ( (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) #s(literal 1/3 binary64)) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))

Outputs

#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(approx (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) #s(literal 1/3 binary64)) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))

Call 10

Inputs
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#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps #s(approx (- ( -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2/3 binary64) (.f64 eps x))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))

Outputs

#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(approx (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 eps x)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))

Call 11

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))))) (fma.f64 eps x (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (.f64 #s(literal -1 binary64) #s(approx ( (pow eps 3) (- (* -1 (/ (+ (* 4/3 x) (/ 1 eps)) eps)) 2/3)) (*.f64 #s(literal -1 binary64) eps))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps (.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) x)) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) #s(approx (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 4/3 x) (/ 1 eps)) eps)) 2/3))) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps x))))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (-.f64 (fma.f64 #s(approx (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 4/3 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 2/3 binary64)) (.f64 (.f64 eps eps) eps)))) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 3 binary64))))))))))
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#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps #s(approx (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 4/3 binary64) eps (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 (fma.f64 #s(approx (neg (+ ( (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) #s(literal 1/3 binary64)) eps (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 (fma.f64 #s(approx (neg (+ ( (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2/3 binary64) (.f64 eps x)))) eps (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))
(/.f64 #s(approx (+ (* (neg (tan x)) (cos (+ eps x))) (sin (+ eps x))) (+.f64 (sin.f64 x) (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))) (cos.f64 (+.f64 eps x)))
(-.f64 (+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x)))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps #s(approx (- ( -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) #s(literal 1/3 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps #s(approx (- ( -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2/3 binary64) (.f64 eps x))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (.f64 #s(approx (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) (.f64 #s(literal -2/3 binary64) x)) eps)) eps (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))

Outputs

#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 #s(approx (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) (*.f64 #s(literal -2/3 binary64) x)) eps)) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))

Call 12

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))))) (fma.f64 eps x (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) eps))
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(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 eps x)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 #s(approx (+ ( (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))) eps #s(literal 1 binary64))) eps))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64))) (/.f64 (sin.f64 x) (cos.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (sin.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (tan.f64 (+.f64 eps x)))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)))) (tan.f64 (+.f64 eps x)))
(-.f64 (/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64))) (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)))) (tan.f64 x))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (tan.f64 (+.f64 eps x))) (sin.f64 x)) (cos.f64 x))
(/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 x)) (cos.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps #s(approx (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
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(/.f64 (fma.f64 (neg.f64 (tan.f64 x)) (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x)))
(/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 eps x)) (tan.f64 x)) (sin.f64 (+.f64 eps x))) (neg.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (fma.f64 (neg.f64 (tan.f64 x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (sin.f64 (+.f64 eps x))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(approx (- (- (+ ( (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) #s(literal 1/3 binary64)) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(approx (- (- (+ ( (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2/3 binary64) (.f64 eps x)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps #s(approx (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 4/3 binary64) eps (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 (fma.f64 #s(approx (neg (+ ( (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) #s(literal 1/3 binary64)) eps (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 (fma.f64 #s(approx (neg (+ ( (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2/3 binary64) (.f64 eps x)))) eps (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))
(/.f64 #s(approx (+ (* (neg (tan x)) (cos (+ eps x))) (sin (+ eps x))) (+.f64 (sin.f64 x) (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))) (cos.f64 (+.f64 eps x)))
(-.f64 (+.f64 (/.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x)))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps #s(approx (- ( -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) #s(literal 1/3 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps #s(approx (- ( -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2/3 binary64) (.f64 eps x))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (.f64 #s(approx (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) (.f64 #s(literal -2/3 binary64) x)) eps)) eps (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 (fma.f64 (neg.f64 (fma.f64 #s(approx (+ ( (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) (.f64 #s(literal -2/3 binary64) x)) eps (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)))) eps (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))

Outputs

#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 (fma.f64 (neg.f64 (fma.f64 #s(approx (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) (*.f64 #s(literal -2/3 binary64) x)) eps (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)))) eps (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))

Call 13

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps))
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#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 (fma.f64 (neg.f64 (fma.f64 #s(approx (+ ( (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) (.f64 #s(literal -2/3 binary64) x)) eps (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)))) eps (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (tan.f64 x) #s(approx (* (- (pow (tan x) 2) -1) (* (tan x) -1/3)) (.f64 #s(literal -1/3 binary64) x))) eps)) eps (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ (pow (tan x) 2) (+ ( (+ (* (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) eps) (* (- (pow (tan x) 2) -1) (tan x))) eps) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (tan x) (tan x)) (+ (* (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) #s(approx ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))) (.f64 eps (fma.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps (-.f64 #s(approx ( -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (.f64 #s(literal 2/3 binary64) (.f64 eps x))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))

Outputs

#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (tan.f64 x) #s(approx (* (- (pow (tan x) 2) -1) (* (tan x) -1/3)) (*.f64 #s(literal -1/3 binary64) x))) eps)) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))

Call 14

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))))))
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#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (tan.f64 x) #s(approx (* (- (pow (tan x) 2) -1) (* (tan x) -1/3)) (.f64 #s(literal -1/3 binary64) x))) eps)) eps (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ (pow (tan x) 2) (+ ( (+ (* (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) eps) (* (- (pow (tan x) 2) -1) (tan x))) eps) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (tan x) (tan x)) (+ (* (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) #s(approx ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))) (.f64 eps (fma.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps (-.f64 #s(approx ( -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (.f64 #s(literal 2/3 binary64) (.f64 eps x))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (tan.f64 x) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) #s(literal -1/3 binary64)))) eps)) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))

Outputs

#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (*.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (tan.f64 x) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (tan.f64 x) #s(literal -1/3 binary64)))) eps)) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))

Call 15

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))))))
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#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (tan.f64 x) #s(approx (* (- (pow (tan x) 2) -1) (* (tan x) -1/3)) (.f64 #s(literal -1/3 binary64) x))) eps)) eps (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ (pow (tan x) 2) (+ ( (+ (* (- (- (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6) (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2))) (* (+ (* (- (+ (* (pow (tan x) 2) 1/6) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (tan x)) (* (- (pow (tan x) 2) -1) (* (tan x) -1/3))) eps)) eps) (* (- (pow (tan x) 2) -1) (tan x))) eps) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (tan x) (tan x)) (+ (* (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) #s(approx ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))) (.f64 eps (fma.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps (-.f64 #s(approx ( -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (.f64 #s(literal 2/3 binary64) (.f64 eps x))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (tan.f64 x) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) #s(literal -1/3 binary64)))) eps)) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (tan.f64 x) (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) #s(literal -1/3 binary64))) eps (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)))) eps (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (tan.f64 x) (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) #s(literal -1/3 binary64))) eps (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)))) eps (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))

Outputs

#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (tan.f64 x) (*.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) #s(literal -1/3 binary64))) eps (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)))) eps (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64))) eps))

Calls

45 calls:

86.0ms	x
20.0ms	eps
17.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
17.0ms	x
17.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Accuracy	Segments	Branch
98.0%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.0%	1	`x`
98.0%	1	`eps`
98.3%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.3%	1	`eps`
98.3%	1	`x`
98.5%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.5%	1	`x`
98.5%	1	`eps`
98.9%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.9%	1	`x`
98.9%	1	`eps`
98.9%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.9%	1	`x`
98.9%	1	`eps`
99.2%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.2%	1	`x`
99.2%	1	`eps`
99.2%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.2%	1	`x`
99.2%	1	`eps`
99.2%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.2%	1	`x`
99.2%	1	`eps`
99.7%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.7%	1	`x`
99.7%	1	`eps`
99.7%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.7%	1	`x`
99.7%	1	`eps`
99.9%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.9%	1	`x`
99.9%	1	`eps`
99.9%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.9%	1	`x`
99.9%	1	`eps`
100.0%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
100.0%	1	`x`
100.0%	1	`eps`
100.0%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
100.0%	1	`x`
100.0%	1	`eps`
100.0%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
100.0%	1	`x`
100.0%	1	`eps`

Compiler

Compiled 8 962 to 798 computations (91.1% saved)

derivations113.0ms (1.3%)

Memory

-25.8MiB live, 69.0MiB allocated; 9ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 2 170 to 244 computations (88.8% saved)

preprocess129.0ms (1.5%)

Memory: 19.4MiB live, 205.5MiB allocated; 20ms collecting garbage
Compiler: Compiled 2 212 to 274 computations (87.6% saved)

end0.0ms (0.0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0.0%)

analyze36.0ms (0.4%)

sample4.8s (53.8%)

preprocess78.0ms (0.9%)

sample0.0ms (0.0%)

series32.0ms (0.4%)

rewrite155.0ms (1.8%)

eval15.0ms (0.2%)

prune20.0ms (0.2%)

sample0.0ms (0.0%)

series230.0ms (2.6%)

rewrite290.0ms (3.3%)

eval392.0ms (4.4%)

prune71.0ms (0.8%)

sample1.0ms (0.0%)

series235.0ms (2.7%)

rewrite193.0ms (2.2%)

eval316.0ms (3.6%)

prune92.0ms (1.0%)

sample1.0ms (0.0%)

series224.0ms (2.5%)

rewrite362.0ms (4.1%)

eval385.0ms (4.3%)

prune55.0ms (0.6%)

regimes670.0ms (7.6%)

derivations113.0ms (1.3%)

preprocess129.0ms (1.5%)

end0.0ms (0.0%)

Profiling